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Finding the Third Proportional to 502.97 and 754.78

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Solution

The third proportional to 502.97 and 754.78 is: 1,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.97 : 754.78 = 754.78 : x
  2. Step 2: Convert to fraction form
    502.97/754.78 = 754.78/x
  3. Step 3: Cross multiply
    502.97x = 754.78 × 754.78
  4. Step 4: Simplify right side
    502.97x = 569,694.74
  5. Step 5: Solve for x
    x = 569,694.74/502.97
  6. Step 6: Final answer
    x = 1,132.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.